Answer:
Step-by-step explanation:
James determined that these two expressions were equivalent expressions using the values of x = 4 and x = 6. Which statements are true? Check all that apply.
7 x + 4 and 3 x + 5 + 4 x minus 1
When x = 2, both expressions have a value of 18. True
The expressions are only equivalent for x = 4 and x = 6. False
The expressions are only equivalent when evaluated with even values. False
The expressions have equivalent values for any value of x. True
The expressions should have been evaluated with one odd value and one even value. false
When x = 0, the first expression has a value of 4 and the second expression has a value of 5. False
The expressions have equivalent values if x = 8. True
please correct me if i am wrong
for Options no. a, b, d, g statements will be correct.
What is an expression?
The expression implies the mathematical statement which contains the numbers and variables and mathmatical operators between them.
According to question, the expressions are 7x+4 and 3x+5+4x-1
both expression are equivalent at x=4 and x=6
Now we have to check the correct statement among the given options satisfying the above condition (two expressions were equivalent expressions) :
a) 7 x + 4 and 3 x+5+4x-1 When x = 2, both have a value of 18.
for x=2
7x+4
=7(2)+4
=14+4
=18
For x=2
3x+5+4x-1
=3(2)+5+4(2)-1
=6+5+8-1
=18
therefore for x = 2, both have smae value of 18 statement is correct
b)
For x=4
7x+4
=7(4)+4
=28+4
=32
For x=6
3x+5+4x-1
=3(6)+5+4(6)-1
=18+5+24-1
=32
Therefore the expressions are only equivalent for x = 4 and x = 6 statement is correct
c) The asked expressions are only equivalent when evaluated with even values.
let take an odd value say x=3
For x=3
7x+4
=7(3)+4
=21+4
=25
For x=3
3x+5+4x-1
=3(3)+5+4(3)-1
=9+5+12-1
=25
both statements are equal value though they have odd values also
∴ The expressions will be only equivalent when it is evaluated by even values this statement is not correct
d)
From the above it is clear that we will get same value if we put any values of x.
∴ The expressions have equivalent values for any value of x statement is correct.
e)
If we put x=7 in 7x+4
7x+4
=7(7)+4
=49+4
=53
Put x=8 in 3x+5+4x-1
3x+5+4x-1
=3(8)+5+4(8)-1
=24+5+32-1
=60
so for odd and even value the expression has two different values
∴ The expressions is not equivalent with one odd value and one even value statement is not correct.
f) When x=0, the first expression 7x+4 has a value of 4 and the second expression 3x+5+4x-1 has a value of 5.
put x=0 in 7x+4
7x+4
=7(0)+4
=0+4
=4
Put x=0 in 3x+5+4x-1
3x+5+4x-1
=3(0)+5+4(0)-1
=0+5+0-1
=4≠5
∴ When x = 0, the first expression got value of 4 and the second expression got value of 5 statement is not correct
g)
for x=8
7x+4
=7(8)+4
=56+4
=60
for x=8
3x+5+4x-1
=3(8)+5+4(8)-1
=24+5+32-1
=60
∴ The expressions will contain equivalent values if x will be equal to 8 this statement is correct.
therefore for Options no. a, b, d, g statements will be correct.
To know more about expressions
here: brainly.com/question/723406
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